expm1 (example 3.7)

Time bar (total: 1.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.6%25.4%0%0%0%0
100%74.6%0%25.4%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (64.5%)

Results
516.0ms2758×body1024valid
186.0ms2726×body256infinite
165.0ms1404×body512valid
85.0ms1088×body256valid
59.0ms280×body2048valid
Bogosity

preprocess93.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1460×fma-def
828×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
574×distribute-neg-in
Problems
167×(-.f64 (exp.f64 x) 1)
89×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24544
36944
411244
522644
653144
7160344
8456244
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.6%
(-.f64 (exp.f64 x) 1)
▶100.0%
(expm1.f64 x)
▶39.6%
(-.f64 (exp.f64 x) 1)
▶100.0%
(expm1.f64 x)
Compiler

Compiled 16 to 12 computations (25% saved)

localize64.0ms (4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 x)
0.0ms
x
@inf
(expm1.f64 x)
0.0ms
x
@-inf
(expm1.f64 x)
0.0ms
x
@0
(-.f64 (exp.f64 x) 1)
0.0ms
x
@-inf
(-.f64 (exp.f64 x) 1)

rewrite95.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
928×frac-times
422×unpow-prod-down
305×log1p-expm1-u
304×expm1-log1p-u
288×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
17616
288116
Stop Event
1×node limit
Counts
2 → 145
Calls
Call 1
Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 (exp.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (-.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (expm1.f64 (*.f64 2 x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 x)) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 x))) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 2 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 (*.f64 x 3)))) (sqrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 3)))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 x))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 2))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 (*.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 (exp.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (expm1.f64 (*.f64 2 x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 x)) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 x))) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 2 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 (*.f64 x 3)))) (sqrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 3)))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 x))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 2))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 (*.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

simplify107.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
1478×fma-def
1082×fma-neg
854×distribute-lft-in
746×distribute-rgt-in
632×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02406096
15605950
217555082
374135074
Stop Event
1×node limit
Counts
161 → 125
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (exp.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (-.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (expm1.f64 (*.f64 2 x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 x)) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 x))) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 2 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 (*.f64 x 3)))) (sqrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 3)))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 x))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 2))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 (*.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 (exp.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (expm1.f64 (*.f64 2 x)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 x)) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 x))) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 (*.f64 2 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 (*.f64 x 3)))) (sqrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 3)))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x 3)) (expm1.f64 x))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) 2))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 2 x) (log1p.f64 (exp.f64 x)))) (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 (*.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
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(/.f64 (+.f64 (-.f64 -1 (exp.f64 x)) (exp.f64 (fma.f64 x 2 (log1p.f64 (exp.f64 x))))) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (-.f64 (expm1.f64 (fma.f64 x 2 (log1p.f64 (exp.f64 x)))) (exp.f64 x)) (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 4)) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 4)) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (exp.f64 (*.f64 x 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 9) -1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (pow.f64 (exp.f64 3) x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (*.f64 (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x 6))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 6)) (*.f64 (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) 1) 1) (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 6)) (*.f64 (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 (*.f64 x 3)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (/.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 3))) (/.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 3))) -1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 2 x))) -1)
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 (exp.f64 x) 1 -1)
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

eval32.0ms (2%)

Compiler

Compiled 1729 to 1095 computations (36.7% saved)

prune17.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh000
Picked022
Done000
Total1243127
Accuracy
100.0%
Counts
127 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓39.6%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
66.3%
x
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(expm1.f64 x)
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
66.3%1x
Compiler

Compiled 4 to 2 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(expm1.f64 x)
x
Outputs
(expm1.f64 x)
x
Compiler

Compiled 5 to 3 computations (40% saved)

soundness98.0ms (6.2%)

Rules
1460×fma-def
828×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
574×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24544
36944
411244
522644
653144
7160344
8456244
Stop Event
1×node limit
Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess37.0ms (2.3%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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